考虑应力波的轴心压杆冲击分岔屈曲研究  

Impact bifurcation buckling of an axial compression bar with stress wave

作　　者：钟炜辉[1] 郝际平[1] 雷蕾[2] 郑江[1] 

机构地区：[1]西安建筑科技大学土木工程学院,西安710055 [2]中国电力工程顾问集团西北电力设计院,西安710075

出　　处：《振动与冲击》2010年第10期201-205,共5页Journal of Vibration and Shock

基　　金：国家自然科学基金资助项目(50878181);西安建筑科技大学青年科技基金项目(QN0902)

摘　　要：应力波传播对轴心压杆的冲击屈曲有显著影响,目前的相关研究大多未考虑应力波在杆件远端的反射,且认为轴向应力波在波阵面处为固定约束(波前固定)。该做法忽略了杆件无应力段及远端边界条件对杆件冲击屈曲的影响,从理论上看并不严密。对阶跃荷载作用下不同边界条件轴心压杆的动力分岔屈曲进行了分析,以更为合理的波前连续条件代替波前固定对问题进行了求解,得出了杆件弹性及弹塑性冲击分岔屈曲计算结果,获得了一些有价值的结论。The propagation of stress wave has great influence on impact buckling of an axial compression bar.At present,studies related are not involved with reflection of stress wave at far-end in most cases,and fixed constraint is considered at axial stress wave front(fixed of wave front).This method ignores the effect of the unstressed part of the bar and the far-end boundary condition on the impact buckling problem of the bar.Here-in,the dynamic bifurcation buckling of an axial compression bars with different boundary conditions under a step load were analyzed.Continuity of wave front was used to solve the problem more properly in stead of fixed of wave front.Some calculation results about impact bifurcation buckling of elastic and elasto-plastic bars were obtained,and valuable conclusions were drawn.

关 键 词：轴心压杆 冲击分岔屈曲 应力波 阶跃荷载 波前连续 

分 类 号：O347.2[理学—固体力学] TU311.2[理学—力学]